ApCoCoA-1:NCo.SetRelations
From ApCoCoAWiki
NCo.SetRelations
Set relations for a finitely presented monoid ring.
Syntax
NCo.SetRelations(Relations:LIST)
Description
Before calling the function, please set ring environment alphabet (or set of indeterminates) X through the functions NCo.SetX. For more information, please check the relevant functions.
@param Relations: a finite set of relations. It is of LIST type. Each element in Relations is of the form [W1, W2], where W1 and W2 are words in <X>. Each word is represented as a STRING. For example, the word xy^2x is represented as "xyyx", and the identity is represented as the empty string "". Thus, the relation (yx, xy) is represented as ["yx", "xy"], and the set of relations {(yx, xy),(zx,xz),(zy,yz)} is represented as [["yx", "xy"],["zx", "xz"],["zy", "yz"]].
Example
NCo.RingEnv(); Coefficient ring : Q Ordering : LLEX ------------------------------- NCo.SetX(<quotes>abc</quotes>); Relations:=[[<quotes>ba</quotes>,<quotes>ab</quotes>], [<quotes>ca</quotes>,<quotes>ac</quotes>], [<quotes>cb</quotes>,<quotes>bc</quotes>]]; --ba=ab, ca=ac, cb=bc NCo.SetRelations(Relations); NCo.RingEnv(); Coefficient ring : Q Alphabet : abc Ordering : LLEX Relations : [[<quotes>ba</quotes>, <quotes>ab</quotes>], [<quotes>ca</quotes>, <quotes>ac</quotes>], [<quotes>cb</quotes>, <quotes>bc</quotes>]] -- relations generated by {ba=ab, ca=ac, cb=bc} -------------------------------
See also